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Which is the graph of the inequality?

3y−9x≥9

Number graph ranging from negative ten to ten on the x and y axes. A dotted line passes through (zero, negative two) and (five, negative three). The area above the line is shaded gray.


Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray.


Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A solid line passes through (zero, negative fourteen) and (two, zero). The area to the right of the line is shaded gray.


Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A dotted line with a positive slope is drawn in the fourth quadrant of the graph. The area above the line is shaded gray.

Respuesta :

facundo3141592

A solid line passes through (-1, 0) and (0, 3). The area to the left of the line is shaded gray.

How to get the graph of the inequality?

Here we have the inequality:

3y - 9x ≥ 9

First, we should isolate y on one side of the inequality.

3y  ≥ 9x + 9

y  ≥ 3x + 3

Then, the graph will be a solid line of the form:

y =  3x + 3

Where the line is solid because the points on the line are solutions, and we need to shade all the region above the line.

Also, notice that for the line:

y = 3x + 3

if x = -1 we have:

y = 3*(-1) + 3 = 0

if x = 0 we have:

y = 3*0 + 3 = 3

Then the line passes through (0, 3) and (-1, 0). So the correct option is the second one.

"Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray."

If you want to learn more about inequalities:

https://brainly.com/question/18881247

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